Remark 4.2 The unique minimizer in (REF ) can be proved by using the same arguments in [1]}. For brevity, we do not repeat the proof here.
By using the Carleman quasi-reversibility method, we do not find the exact solution to (REF ).
Rather, we compute the best fit solution \(h_n\) .
This feature is important because (REF ) might not have a solution.
When (REF ) does have a solution, the reader can find the proof of the convergence of this best fit solution to the true solution as \(\epsilon \rightarrow 0\)  in [2]}.

